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- Title
ON SOME CONVERGENCE RESULTS FOR FRACTIONAL PERIODIC SOBOLEV SPACES.
- Authors
Ambrosio, Vincenzo
- Abstract
In this note we extend the well-known limiting formulas due to Bourgain-Brezis- -Mironescu and Maz'ya-Shaposhnikova, to the setting of fractional Sobolev spaces on the torus. We also give a Γ-convergence result in the spirit of Ponce. The main theorems are obtained by using the nice structure of Fourier series.
- Subjects
PONCE (P.R.); SOBOLEV spaces; FOURIER series; TORUS
- Publication
Opuscula Mathematica, 2020, Vol 40, Issue 1, p5
- ISSN
1232-9274
- Publication type
Article
- DOI
10.7494/OpMath.2020.40.1.5